Paper Model of a Hyperboloid of One Sheet, M. Schilling No. 13, Carton Ser. No. 3

Object Details

Schilling, Martin

Description

In the nineteenth and early twentieth century, students studying technical subjects often learned about the representation of surfaces by equations in courses in solid analytic geometry. Schools in Europe, the United States, and Japan sometimes purchased models to illustrate such surfaces. The firm of Martin Schilling published this one as part of a series of paper models (the “Carton” series) designed by Alexander Brill and first issued in 1874.

This pink paper model of a hyperboloid of one sheet has the dimensions given when unfolded. It measures flat in its light green paper envelope: 17 cm. w. x 11.5 cm. d. It is composed of thirty-four circles and segments of circles. The lines of intersection are numbered, but there are no maker's marks on the model. The envelope is stored in a black paper box with the other Carton models. The envelope is in a brown box with the other models in the Carton series. A tag on the envelope reads: Karton-Modelle (/) von Flachen zweiter Ordnung. (/) Nr. 3. (/) Einschaliges Hyperboloid. (/) Verlag von Martin Schilling in Halle a. S. another mark there reads: Leipzig.

The model shows a hyperboloid of one sheet, a surface that can be represented by the equation x²/a² + y²/ b² - z²/c² = 1. Here z is a horizontal axis, with the x and y-axes perpendicular to it. The model is displayed on a stand that is part of MA.304722.24.

Compare 1985.0112.007

References:

L. Brill, Catalog, 1892, p. 1, 59.

M. Schilling, Catalog, 1911, p. 1-2, 112.

Location

Currently not on view

Credit Line

Gift of Brown University Department of Mathematics

ca 1900

ID Number

MA.304722.16

catalog number

304722.16

accession number

304722

Object Name

Geometric Model

geometric model

Physical Description

paper (overall material)

Measurements

overall: 8 cm x 10 cm x 8 cm; 3 5/32 in x 3 15/16 in x 3 5/32 in

place made

Germany: Saxony, Leipzig

See more items in

Medicine and Science: Mathematics

Science & Mathematics

National Museum of American History

Subject

Mathematics

Record ID

nmah_1213843

Metadata Usage (text)

CC0

GUID (Link to Original Record)

https://n2t.net/ark:/65665/ng49ca746aa-95c1-704b-e053-15f76fa0b4fa